The Vertical Semi restrained Test was used to conduct flammability tests on children's sleepwear. Pieces of fabric were burned under controlled conditions. After the burning stopped, the length of the charred portion was measured and recorded. The same fabric samples were tested at five different laboratories. The analysis of variance results from Excel are shown below.

a. What is the null hypothesis?

b. What is the alternative hypothesis?

c. Identify the P-value.

d. Is there sufficient evidence to support the claim that the means for the different laboratories are not all the same? Assume that a 0.05 significance level is used.

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Source of Variation Between Groups Within Groups Total sS df MS P-value F crit 4 0.521798566 2.949333035 0.030665893 2.588834036 7.607597403 43 0.17692087 9.694791667 47